Publication Date: 2024/01/20
Abstract: In 1925, W. Heisenberg, Max Born and Pascual Jordan introduced the first so-called matrix mechanics (HMJ theory) to study the fine structure of the Bohr hydrogen atom. However, in the early 1930s, the equivalence between the HMJ theory and the Schrödinger equation was denied and the HMJ theory fell. In 2020, a new theory of matrix mechanics emerged, called b-matrix chains, and has been successfully applied to different 3D situations in classical physics as well as quantum mechanics. In this paper we study the application of new matrix theory to the initial value problem in the 3D heat diffusion equation as well as to quantum particles in a 3D cube where the numerical results are strikingly accurate. The similarity of the matrix techniques applied in both cases suggests that nature has only one face to show in classical and quantum physics.
Keywords: No Keywords Available
DOI: https://doi.org/10.5281/zenodo.10539186
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT24JAN569.pdf
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